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12123120020031 = 3259127179769563
BaseRepresentation
bin1011000001101010001001…
…0000110010101000111111
31120220221220002010011011100
42300122202100302220333
53042111122211120111
641441141235224143
72360603133634146
oct260324220625077
946827802104140
1012123120020031
113954428225179
121439660448053
1369c2890c1547
142dca9545075d
1516053bc76756
hexb06a2432a3f

12123120020031 has 24 divisors (see below), whose sum is σ = 17948193269760. Its totient is φ = 7882535754576.

The previous prime is 12123120019981. The next prime is 12123120020047. The reversal of 12123120020031 is 13002002132121.

12123120020031 is a `hidden beast` number, since 1 + 2 + 1 + 231 + 200 + 200 + 31 = 666.

It is not a de Polignac number, because 12123120020031 - 214 = 12123120003647 is a prime.

It is a super-2 number, since 2×121231200200312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12123120019986 and 12123120020013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12123120025031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89817345 + ... + 89952218.

It is an arithmetic number, because the mean of its divisors is an integer number (747841386240).

Almost surely, 212123120020031 is an apocalyptic number.

12123120020031 is a deficient number, since it is larger than the sum of its proper divisors (5825073249729).

12123120020031 is a wasteful number, since it uses less digits than its factorization.

12123120020031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179769755 (or 179769752 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12123120020031 its reverse (13002002132121), we get a palindrome (25125122152152).

The spelling of 12123120020031 in words is "twelve trillion, one hundred twenty-three billion, one hundred twenty million, twenty thousand, thirty-one".

Divisors: 1 3 9 59 127 177 381 531 1143 7493 22479 67437 179769563 539308689 1617926067 10606404217 22830734501 31819212651 68492203503 95457637953 205476610509 1347013335559 4041040006677 12123120020031